Concept-wise Practice

coefficient_from_roots MCQ Questions for Class 10

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Practice Questions

3 questions tagged with coefficient_from_roots.

Question 1/3 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि (x=3) और (x=8) किसी मोनिक द्विघात समीकरण के मूल हैं तो (x) का गुणांक क्या होगा?

If (x=3) and (x=8) are roots of a monic quadratic equation, what will be the coefficient of (x)?

Explanation opens after your attempt
Correct Answer

A. (-11)

Step 1

Concept

\(The sum of roots is (3+8=11). In a monic equation the coefficient of (x) is (-(\)sum\()=-11).\)

Step 2

Why this answer is correct

\(The correct answer is A. (-11). The sum of roots is (3+8=11). In a monic equation the coefficient of (x) is (-(\)sum\()=-11).\)

Step 3

Exam Tip

मूलों का योग (3+8=11) है। मोनिक समीकरण में (x) का गुणांक (-(योग\()=-11) होता है\)।

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Question 2/3 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि (x=2) और (x=7) किसी मोनिक द्विघात समीकरण के मूल हैं तो (x) का गुणांक क्या होगा?

If (x=2) and (x=7) are roots of a monic quadratic equation, what will be the coefficient of (x)?

Explanation opens after your attempt
Correct Answer

A. (-9)

Step 1

Concept

\(The sum of roots is (2+7=9). In a monic equation the coefficient of (x) is (-(\)sum\()=-9).\)

Step 2

Why this answer is correct

\(The correct answer is A. (-9). The sum of roots is (2+7=9). In a monic equation the coefficient of (x) is (-(\)sum\()=-9).\)

Step 3

Exam Tip

मूलों का योग (2+7=9) है। मोनिक समीकरण में (x) का गुणांक (-(योग\()=-9) होता है\)।

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Question 3/3 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि (x=1) और (x=4) किसी मोनिक द्विघात समीकरण के मूल हैं तो (x) का गुणांक क्या होगा?

If (x=1) and (x=4) are roots of a monic quadratic equation, what will be the coefficient of (x)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

\(The sum of roots is (1+4=5). In a monic equation the coefficient of (x) is (-(\)sum\()=-5).\)

Step 2

Why this answer is correct

\(The correct answer is A. (-5). The sum of roots is (1+4=5). In a monic equation the coefficient of (x) is (-(\)sum\()=-5).\)

Step 3

Exam Tip

मूलों का योग (1+4=5) है। मोनिक समीकरण में (x) का गुणांक (-(योग\()=-5) होता है\)।

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